Use the following information to answer questions 1 through 4:
The table below shows data for the production of Apples for an individual firm operating as a monopoly.
Quantity of Apples |
Price |
Total Costs |
0 |
600 |
3000 |
10 |
550 |
3750 |
20 |
500 |
4750 |
30 |
450 |
6000 |
40 |
400 |
8500 |
50 |
350 |
12500 |
60 |
300 |
20000 |
70 |
250 |
32000 |
80 |
200 |
43500 |
1. Given this data, complete the table:
Quantity of Apples |
Total Revenue (TR) |
Profit |
Marginal Revenue (MR) |
Marginal Costs (MC) |
0 |
- |
- |
||
100 |
||||
200 |
||||
300 |
||||
400 |
||||
500 |
2. At what quantity are marginal revenues equal to marginal costs
3. What is the profit-maximizing quantity?
NOTE: If there are two quantities with the same level of profits, pick the larger of the two quantities!
4. What is the profit-maximizing price?
NOTE: If there are two quantities with the same level of profits, pick the larger of the two quantities!
Q | P | TR=(P)(Q) | MR= (Change in TR / Change in Q) | TC | MC=(Change in TC/ Change in Q) |
0 | 600 | 0 | - | 3000 | - |
10 | 550 | 5500 | 550 | 3750 | 75 |
20 | 500 | 10000 | 450 | 4750 | 100 |
30 | 450 | 13500 | 350 | 6000 | 125 |
40 | 400 | 16000 | 250 | 8500 | 250 |
50 | 350 | 17500 | 150 | 12500 | 400 |
60 | 300 | 18000 | 150 | 20000 | 750 |
70 | 250 | 17500 | -50 | 32000 | 1200 |
80 | 200 | 16000 | -150 | 43500 | 1150 |
2. At Q= 40 , MR=MC=250.
3. Profit-maximizing quantity is Q=40 apples where MR=MC.
4. Profit-maximizing price = $400 .
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